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has been cited by the following article:

• TITLE: High-Precision Numerical Scheme for Vortical Flow

  AUTHORS: Kei Ito, Tomoaki Kunugi, Hiroyuki Ohshima

  KEYWORDS: Computational Fluid Dynamics; Numerical Scheme; Vortex Cavitation; Burgers Vortex Theory

  JOURNAL NAME: Applied Mathematics, Vol.4 No.10A, September 30, 2013

  ABSTRACT: In this study, a new high-precision numerical simulation scheme for vortical flows (vortex-based scheme) is proposed. This scheme identifies a vortical flow in each computational cell, and then, reconstructs a vortical velocity distribution based on the Burgers vortex model. In addition, a pressure distribution in the vicinity of the vortex center is also reconstructed. The momentum transfer is calculated with the reconstructed velocity and pressure distributions, and therefore, the vortex-based scheme can simulate vortical flows more accurately than the conventional schemes. In fact, as the simulation result of inviscid vortex attenuation problem, the vortex-based scheme shows lower simulation error compared to the conventional discretization schemes. Moreover, also in the numerical simulation of the quasi-steady vortical flow, the simulation accuracy of the vortex-based scheme is superior to those of the conventional schemes.